Remarks on a Sobolev-Hardy inequality

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We compute the optimal constant for a generalized Hardy-Sobolev inequality, and using the product of two symmetrizations we present an elementary proof of the symmetries of some optimal functions. This inequality was motivated by a nonlinear elliptic equation arising in astrophysics.
5 pages

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Analysis of PDEs, 35J20

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http://salesiana.dossiersoluciones.com/handle/123456789/65899

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0212083
 http://arxiv.org/abs/math/0212083

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arXiv